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Algebra Logika, 2002, Volume 41, Number 5, Pages 585–609 (Mi al199)  

This article is cited in 1 scientific paper (total in 1 paper)

Barwise's Information Frames and Modal Logics

V. V. Rybakov


Abstract: The article studies Barwise's information frames and settles the problem of Barwise dealing in finding axiomatizations for the modal logics generated by information frames. We find axiomatic systems for: (i) the modal logic of all complete information frames; (ii) the logic of all sound and complete information frames; (iii) the logic of all hereditary and complete information frames; (iv) the logic of all complete, sound, and hereditary information frames; (v) the logic of all consistent and complete information frames. The notion of weak modal logics is also proposed, and it is shown that the weak modal logics generated by all information frames and by all hereditary information frames are $K$ and $K4$, respectively. Toward a general theory, we prove that any Kripke complete modal logic is a modal logic of a certain class of information frames, and that every modal logic generated by any given class of complete, rarefied, and fully classified information frames is Kripke complete.

Keywords: knowledge presentation, information, information flow, information frame, modal logic, Kripke model

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English version:
Algebra and Logic, 2002, 41:5, 323–336

Bibliographic databases:

UDC: 510.643+519.72
Received: 29.03.2000

Citation: V. V. Rybakov, “Barwise's Information Frames and Modal Logics”, Algebra Logika, 41:5 (2002), 585–609; Algebra and Logic, 41:5 (2002), 323–336

Citation in format AMSBIB
\Bibitem{Ryb02}
\by V.~V.~Rybakov
\paper Barwise's Information Frames and Modal Logics
\jour Algebra Logika
\yr 2002
\vol 41
\issue 5
\pages 585--609
\mathnet{http://mi.mathnet.ru/al199}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1953181}
\zmath{https://zbmath.org/?q=an:1019.03017}
\transl
\jour Algebra and Logic
\yr 2002
\vol 41
\issue 5
\pages 323--336
\crossref{https://doi.org/10.1023/A:1020983821239}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-42249091361}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Howser G., McMillin B., “a Modal Model of Stuxnet Attacks on Cyber-Physical Systems: a Matter of Trust”, 2014 Eighth International Conference on Software Security and Reliability, International Conference on Software Security and Reliability, IEEE, 2014, 225–234  crossref  isi  scopus
  • Алгебра и логика Algebra and Logic
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